Let f(x,y) = 3x3 + 3x2 y − y3 − 15x. a) Find and classify the...

Let f(x,y) = 3x³ + 3x² y − y³ − 15x.

a) Find and classify the critical points of f. Use any method taught during the course (the second-derivative test or completing the square).

b) One of the critical points is (a,b) = (1,1). Write down the second-degree Taylor approximation of f about this point and motivate, both with computations and with words, how one can see from this approximation what kind of critical point (1,1) is. Use completing the square.

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milcah answered 1 year ago

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Let f(x,y) = 3x3 + 3x2 y − y3 − 15x. a) Find and classify the...

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